Full-rank representations of {2, 4}, {2, 3}-inverses and successive matrix squaring algorithm

@article{Stanimirovi2011FullrankRO,
  title={Full-rank representations of \{2, 4\}, \{2, 3\}-inverses and successive matrix squaring algorithm},
  author={Predrag S. Stanimirovi{\'c} and Dragana S. Cvetkovic-Ilic and Sladjana Miljkovic and Marko Miladinovic},
  journal={Applied Mathematics and Computation},
  year={2011},
  volume={217},
  pages={9358-9367}
}
Abstract We present the full-rank representations of {2, 4} and {2, 3}-inverses (with given rank as well as with prescribed range and null space) as particular cases of the full-rank representation of outer inverses. As a consequence, two applications of the successive matrix squaring (SMS) algorithm from [P.S. Stanimirovic, D.S. Cvetkovic-Ilic, Successive matrix squaring algorithm for computing outer inverses, Appl. Math. Comput. 203 (2008) 19–29] are defined using the full-rank… CONTINUE READING

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